2.7 Transformations of Functions

Choose the correct equation for the graph.

•  $y=\left|x+2\right|$

• $y=\left|x-2\right|$

• $y=\left|x\right|+2$

• $y=\left|x\right|-2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the blue is  $f\left(x\right)=x^2$ , then the red must be

•  $f\left(x\right)=x^2-5$ 

•  $f\left(x\right)=x^2+5$  
  

•  $f\left(x\right)=x^2$  
  

•  $f\left(x\right)=5x^2$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from the parent function?

f(x) = x² + 2

• shift right 2

• shift up 2

• shift down 2

• shift left 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The dotted line represents the parent function. The blue line represents a family member. Find the function for the transformed graph.

•  $f\left(x\right)=x^2+3$ 

•  $f\left(x\right)=\left(x+3\right)^2$  

•  $f\left(x\right)=\ x^2-3$ 

•  $f\left(x\right)=\left(x-3\right)^2$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the equation of the transformed graph

• $f\left(x\right)=x^2+3$

• $f\left(x\right)=\left(x+3\right)^2$

• $f\left(x\right)=\ x^2-3$

• $f\left(x\right)=\left(x-3\right)^2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• $f\left(x\right)=\ \left|x\right|\ +\ 3$

• $f\left(x\right)=\ \left|x\right|-\ 3$

• $f\left(x\right)=\ \left|x+3\right|\$

• $f\left(x\right)=\ \left|x-3\right|$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• $y=\ \left|x\right|\ +\ 3$

• $y=\ \left|x\right|-\ 3$

• $y=\ \left|x+3\right|\$

• $y=\ \left|x-3\right|$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $f\left(x\right)=\sqrt{x-2}$  

Which graph represents this transformed function?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7